Neutrino Magnetic Moment and the Muon g-2 Tension

It is suggested that the precession of the boosted neutrino magnetic moments in the external magnetic field may explain the tension between the muon anomalous g -factor measured in the Muon g-2 experiments and the theoretical value predicted by the Standard Model. As the neutrinos and positron resulting from the muon decay are entangled prior to the positron detection, the interaction of the neutrino dipoles with the magnetic field gives origin to an uncertainty in the time modulation of the positron angular distribution. The translated uncertainty in the muon g -factor, δ a_μ≈ (1.96 ± 0.68) ppm, presents 1σ agreement with the anomaly measured at Fermilab, δ a_μ≈ (2.14 ± 0.50) ppm. A dependence of the anomaly on the positron energy is also predicted and can be experimentally verified. A fitting of the Brookhaven binned data suggests such a dependence, with χ ^2_r = 0.86 , better than with an energy-independent anomaly, which gives χ ^2_r = 0.78 .